An inductive circuit has zero resistance when AC Voltage is applied across this circuit. The angle through which current lags behind the applied voltage is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \( 90^\circ \)
In a purely inductive circuit the applied voltage equals the back emf of the inductor, \( v = L\,di/dt \).
\( \displaystyle v = v_m\sin\omega t \;\Rightarrow\; i = -\frac{v_m}{\omega L}\cos\omega t = i_m\sin\left(\omega t - \frac{\pi}{2}\right) \)
So the current lags the voltage by \( \pi/2 \), that is \( 90^\circ \).
NCERT (2026-27):
AC Voltage Applied to an Inductor – “… A comparison of Eqs. (7.1) and (7.12) for the source voltage and the current in an inductor shows that the current lags the voltage by π/2 or one-quarter (1/4) cycle.”